On alternative theorems and necessary conditions for efficiency

Do Van Luu () and Manh Hung Nguyen
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Do Van Luu: Hanoi Institute of Mathematics

Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1)

Abstract: In this paper, we establish theorems of the alternative for a system described by inequalities, equalities and an inclusion, which are generalizations of Tucker's classical theorem of the alternative, and develop Kuhn-Tucker necessary conditions for efficiency to mathematical programs in normed spaces involving inequality, equality and set constraints with positive Lagrange multipliers of all the components of objective functions

Keywords: Theorem of the alternative; Kuhn-Tucker necessary condition; constraint qualification (search for similar items in EconPapers)
Pages: 20 pages
Date: 2006-03
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Published in Optimization, Taylor & Francis, 2009, 58 (1), pp.49-62

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https://doi.org/10.1080/02331930701761433
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Related works:
Working Paper: On alternative theorems and necessary conditions for efficiency (2006)
Working Paper: On alternative theorems and necessary conditions for efficiency (2006)
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